Unformatted text preview: 1] t’ou go to the casino and play roulette. You decide to place bets that the
ball will land on the number 13. [in a roulette wheel there are the number
lmﬂﬁ, {i and 'DB'. Thus the likelihood that you win any one spin is 1 in BB.
‘Fou decide to play 1!} times, thus you are in Binomial Land and the
potential results of your gambling will be drawn from a binomial
distribution B[:1[1,1,aI 33]. What is the probability that you win: [a] 1 time? [lnpts)
[b] 2 times? [1mpts] 2] If you win, placing one to the bets above, the casino will pay you $36
for every $1 you wager. You decided to wager $1 on each often spins above.
[a] How many of the ten spins do you need to win in order to leave
with more $ than you started with? [Enp13] 3] Instead of placing bets on a single number, you decide to place bets that
the ball will land on a 'red number’. [in a roulette wheel there are 18 red
number, 13 black numbers and the two green numb ers:ﬂ', and’ﬂ'il’. [a] What is the rprobability of success: p for any single spin'? [lupts]
[b] What is the probability that if you play 6 spins, you win exactly
3 of them? [inpt} 4] If you are in IrBinomial Land’ and 'n’ is relatively large, the
Binomial Distribution will look a lot like the
[a] distribution. [$th
5] If you have a Binomial distribution B[n,p], then the distribution in 'a'
will have
[a] mean mu = [1pts]
[b] and standard deviation sigma = . [l—rpis] ...
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 Spring '14
 CAPLOVITZ,GIDEON
 Normal Distribution, Standard Deviation, Probability theory, Binomial distribution

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